Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - Chapter 9 Review Problem Set: 38

Answer

$18\sqrt 2$

Work Step by Step

We first multiply the separate square roots together to create one square root. Then, we break the square root into its factors, and finally, we simplify the factors that are perfect squares: $2\sqrt 3 \times 3\sqrt 6$ =$(2\times3)\times(\sqrt 3\times\sqrt 6)$ =$(6)\times(\sqrt {3\times6})$ =$(6)\times(\sqrt {18})$ =$(6)\times(\sqrt {2\times9})$ =$(6)\times(3\sqrt {2})$ =$18\sqrt 2$
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